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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A short proof that hyperspaces of Peano continua are absolute retracts
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by Sergey Antonyan PDF
Proc. Amer. Math. Soc. 129 (2001), 2187-2189 Request permission

Abstract:

We give a short proof of Wojdyslawski’s famous theorem.
References
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  • Karol Borsuk, Theory of retracts, Monografie Matematyczne, Tom 44, Państwowe Wydawnictwo Naukowe, Warsaw, 1967. MR 0216473
  • C. J. Everett Jr., Annihilator ideals and representation iteration for abstract rings, Duke Math. J. 5 (1939), 623–627. MR 13
  • Sergio Sispanov, Generalización del teorema de Laguerre, Bol. Mat. 12 (1939), 113–117 (Spanish). MR 3
  • J. van Mill, Infinite-dimensional topology, North-Holland Mathematical Library, vol. 43, North-Holland Publishing Co., Amsterdam, 1989. Prerequisites and introduction. MR 977744
  • M. Wojdyslawski, Retracts absolutes et hyperespaces des continus, Fund. Math. 32 (1939), 184–192.
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Additional Information
  • Sergey Antonyan
  • Affiliation: Departamento de Matemáticas, Facultad de Ciencias, UNAM, Circuito Exterior, C.U., 04510, México D.F., México
  • Email: antonyan@servidor.unam.mx
  • Received by editor(s): October 29, 1999
  • Received by editor(s) in revised form: September 5, 2000
  • Published electronically: February 15, 2001
  • Additional Notes: The author was partially supported by PAPIIT (UNAM) research grant IN105800
  • Communicated by: Alan Dow
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2187-2189
  • MSC (2000): Primary 54B20; Secondary 54C55
  • DOI: https://doi.org/10.1090/S0002-9939-01-06098-1
  • MathSciNet review: 1825932